Determinantal structures in (2+1)-dimensional growth and decay models

by Theodoris Assiotis (University of Warwick)

Location: CYCL05, Louvain-la-Neuve
Time: Wednesday April 18, 2018 at 16:00

I will talk about an inhomogeneous growth and decay model with a wall present in which the growth and decay rates on a single horizontal slice of the surface can be chosen essentially arbitrarily depending on the position.

This model turns out to have a determinantal structure and most remarkably for a certain, the fully packed, initial condition the correlation kernel can be calculated explicitly in terms of one dimensional orthogonal polynomials on the positive half line and their orthogonality measures.